File:Algebraic curves (x² + y²) = a(1 - x²y²) for various values of a.png

Original file(1,898 × 1,282 pixels, file size: 1.42 MB, MIME type: image/png)

Summary

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English: Curves x² ⊕ y² = a where ab = tan(arctan a + arctan b), for various values of a. Negative a in green, positive a in blue, a = ±1 in red, and a = ∞ in black.
Date
Source Own work
Author Jacob Rus
Other versions strangely colored SVG variant, File:Algebrai curves for various values of a A.svg

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Captions

Curves ''x''² ⊕ ''y''² = ''a'' where ''a''⊕''b'' = tan(arctan ''a'' + arctan ''b''), for various values of ''a''.

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19 August 2021

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2f1a8aa3dd5adaee7b136b091e8342ff42444716

1,485,504 byte

1,282 pixel

1,898 pixel

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Date/TimeThumbnailDimensionsUserComment
current10:26, 19 August 2021Thumbnail for version as of 10:26, 19 August 20211,898 × 1,282 (1.42 MB)JacobolusBetter spacing of a (use tangent function)
08:20, 19 August 2021Thumbnail for version as of 08:20, 19 August 20211,938 × 1,472 (1.23 MB)Jacobolusadd red curve for a = -1
07:51, 19 August 2021Thumbnail for version as of 07:51, 19 August 20211,692 × 1,552 (1.2 MB)JacobolusUploaded own work with UploadWizard
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